Determine the equation for each of the following parabolas described with a) zero values of -4 and 8 and a maximum value of 4

b) Vertex of (2,5) and through point A (7,2).

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.